Book Review
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Book Information:
Author:
János Kollár
Title:
Rational curves on algebraic varieties
Additional book information:
Springer, Secaucus, NJ,
1996,
viii+320 pp.,
ISBN 3-540-60168-6,
$139.95$
[A] M. Artin, Deformations of singularities, Tata Inst. lecture notes 54, 1976
[CR] A. Corti and M. Reid (eds.), Explicit birational geometry of 3-folds, CUP 2000, ISBN 0 521 63641 8
[G] A. Grothendieck, Techniques de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert, Sém. Bourbaki 6 Exp. 221, 249-276, Soc. Math. France, 1995 CMP 98:09
[Ko] János Kollár, The structure of algebraic threefolds: an introduction to Mori's program, Bull. Amer. Math. Soc. (N.S.) 17 (1987) 211-273 MR 0903730
[KMM] János Kollár, Yoichi Miyaoka and Shigefumi Mori, Rational connectedness and boundedness of Fano manifolds, J. Diff. Geom. 36 (1992) 765-779 MR 1189503
[Mi] Y. Miyaoka, Rational curves on algebraic varieties, in Proc. Internat. Congress of Math (Zürich, 1994), Birkhäuser, Basel, 1995. pp. 680-689MR 1403968
[MM] Yoichi Miyaoka and Shigefumi Mori, A numerical criterion for uniruledness, Ann. of Math. 124 (1986) 65-69 MR 0847952
[M1] S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. (2) 110 (1979) 593-606 MR 0554387
[M2] S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982) 133-176 MR 0662120
[Mu] D. Mumford, Lectures on curves on an algebraic surface, Princeton University Press, 1966MR 0209285
[R] M. Reid, Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra, in Algebraic geometry (L'Aquila, 1988), Springer LNM 1417, 1990, pp. 214-286 MR 1040562
[S] Edoardo Sernesi, Topics on families of projective schemes, Queen's papers in pure and appl. math 73 (1986), viii+203 pp.MR 0869062
- [A]
- M. Artin, Deformations of singularities, Tata Inst. lecture notes 54, 1976
- [CR]
- A. Corti and M. Reid (eds.), Explicit birational geometry of 3-folds, CUP 2000, ISBN 0 521 63641 8
- [G]
- A. Grothendieck, Techniques de construction et théorèmes d'existence en géométrie algébrique. IV. Les schémas de Hilbert, Sém. Bourbaki 6 Exp. 221, 249-276, Soc. Math. France, 1995 CMP 98:09
- [Ko]
- János Kollár, The structure of algebraic threefolds: an introduction to Mori's program, Bull. Amer. Math. Soc. (N.S.) 17 (1987) 211-273 MR 0903730
- [KMM]
- János Kollár, Yoichi Miyaoka and Shigefumi Mori, Rational connectedness and boundedness of Fano manifolds, J. Diff. Geom. 36 (1992) 765-779 MR 1189503
- [Mi]
- Y. Miyaoka, Rational curves on algebraic varieties, in Proc. Internat. Congress of Math (Zürich, 1994), Birkhäuser, Basel, 1995. pp. 680-689MR 1403968
- [MM]
- Yoichi Miyaoka and Shigefumi Mori, A numerical criterion for uniruledness, Ann. of Math. 124 (1986) 65-69 MR 0847952
- [M1]
- S. Mori, Projective manifolds with ample tangent bundles, Ann. of Math. (2) 110 (1979) 593-606 MR 0554387
- [M2]
- S. Mori, Threefolds whose canonical bundles are not numerically effective, Ann. of Math. 116 (1982) 133-176 MR 0662120
- [Mu]
- D. Mumford, Lectures on curves on an algebraic surface, Princeton University Press, 1966MR 0209285
- [R]
- M. Reid, Infinitesimal view of extending a hyperplane section - deformation theory and computer algebra, in Algebraic geometry (L'Aquila, 1988), Springer LNM 1417, 1990, pp. 214-286 MR 1040562
- [S]
- Edoardo Sernesi, Topics on families of projective schemes, Queen's papers in pure and appl. math 73 (1986), viii+203 pp.MR 0869062
Review Information:
Reviewer:
Miles Reid
Affiliation:
Math Institute, University of Warwick
Email:
miles@maths.warwick.ac.uk
Journal:
Bull. Amer. Math. Soc.
38 (2001), 109-115
Published electronically:
October 2, 2000
Review copyright:
© Copyright 2000
American Mathematical Society
